Search results for "complex"

showing 10 items of 5889 documents

Reactive oxygen species (ROS) generation inhibited by aporphine and phenanthrene alkaloids semi-synthesized from natural boldine.

2004

Four phenanthrene and one aporphine alkaloids semi-synthesized from boldine were evaluated for their inhibitory effect on reactive oxygen species (ROS) generation. ROS generation by neutrophils stimulated with N-formyl-methionyl-leucyl-phenylalanine was inhibited in a concentration dependent manner. Alkaloids exerted similar inhibitory effect in the hypoxanthine-xanthine oxidase system than in stimulated neutrophils, which could be attributed to a direct ROS scavenging activity. None of the alkaloids assayed had any effect on xanthine oxidase activity. Therefore the synthesized alkaloids might constitute an alternative therapy in inflammation disorders in which ROS generation is involved.

AporphinesStereochemistryNeutrophilsInflammationcomplex mixtureschemistry.chemical_compoundRos scavengingAlkaloidsDrug DiscoverymedicineBoldineHumansheterocyclic compoundsAporphineInhibitory effectchemistry.chemical_classificationReactive oxygen speciesOxidase testDose-Response Relationship DrugChemistryorganic chemicalsGeneral ChemistryGeneral MedicinePhenanthrenePhenanthrenesBiochemistrymedicine.symptomReactive Oxygen SpeciesChemicalpharmaceutical bulletin
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Binary Hamming codes and Boolean designs

2021

AbstractIn this paper we consider a finite-dimensional vector space $${\mathcal {P}}$$ P over the Galois field $${\text {GF}}(2),$$ GF ( 2 ) , and the family $${\mathcal {B}}_k$$ B k (respectively, $${\mathcal {B}}_k^*$$ B k ∗ ) of all the k-sets of elements of $$\mathcal {P}$$ P (respectively, of $${\mathcal {P}}^*= {\mathcal {P}} \setminus \{0\}$$ P ∗ = P \ { 0 } ) summing up to zero. We compute the parameters of the 3-design $$({\mathcal {P}},{\mathcal {B}}_k)$$ ( P , B k ) for any (necessarily even) k, and of the 2-design $$({\mathcal {P}}^{*},{\mathcal {B}}_k^{*})$$ ( P ∗ , B k ∗ ) for any k. Also, we find a new proof for the weight distribution of the binary Hamming code. Moreover, we…

Applied Mathematics010102 general mathematicsGalois theoryZero (complex analysis)0102 computer and information sciencesAutomorphism01 natural sciencesComputer Science ApplicationsCombinatoricsBlock designs Hamming codes Permutation automorphisms Weight distribution Subset sum problemPermutation010201 computation theory & mathematicsWeight distributionSettore MAT/03 - Geometria0101 mathematicsHamming weightHamming codeVector spaceMathematics
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Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

2019

We study the stress concentration, which is the gradient of the solution, when two smooth inclusions are closely located in a possibly anisotropic medium. The governing equation may be degenerate of $p-$Laplace type, with $1<p \leq N$. We prove optimal $L^\infty$ estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.

Applied Mathematics010102 general mathematicsMathematical analysisDegenerate energy levelsZero (complex analysis)Perfect conductorAnalysiGradient blow-upType (model theory)Conductivity01 natural sciences010101 applied mathematicsNonlinear systemMathematics - Analysis of PDEsFOS: MathematicsFinsler p-Laplacian0101 mathematicsPerfect conductorAnisotropy35J25 35B44 35B50 (Primary) 35J62 78A48 58J60 (Secondary)AnalysisAnalysis of PDEs (math.AP)MathematicsStress concentration
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Nonlinear nonhomogeneous Neumann eigenvalue problems

2015

We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero. We show that for all small values of the parameter, the problem has at least five solutions, four of constant sign and the fifth nodal. We also show the existence of extremal constant sign solutions.

Applied MathematicsConcave termnodal solutionMathematical analysisZero (complex analysis)superlinear reactionDifferential operatorExtremal constant sign solutionNonlinear systemMaximum principlemaximum principleNeumann boundary conditionextremal constant sign solutionsQA1-939superlinear reaction concave terms maximum principle extremal constant sign solutions nodal solution critical groupsconcave termsConstant (mathematics)critical groupsEigenvalues and eigenvectorsCritical groupMathematicsMathematicsSign (mathematics)Electronic Journal of Qualitative Theory of Differential Equations
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Blocks with Equal Height Zero Degrees

2009

We study blocks all of whose height zero ordinary characters have the same degree. We suspect that these might be the Broue-Puig nilpotent blocks.

Applied MathematicsGeneral MathematicsMathematical analysisFOS: MathematicsZero (complex analysis)GeometryGroup Theory (math.GR)Mathematics::Representation TheoryMathematics - Group TheoryMathematics20C20
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Local behaviour of singular solutions for nonlinear elliptic equations in divergence form

2012

We consider the following class of nonlinear elliptic equations $$\begin{array}{ll}{-}{\rm div}(\mathcal{A}(|x|)\nabla u) +u^q=0\quad {\rm in}\; B_1(0)\setminus\{0\}, \end{array}$$ where q > 1 and $${\mathcal{A}}$$ is a positive C 1(0,1] function which is regularly varying at zero with index $${\vartheta}$$ in (2−N,2). We prove that all isolated singularities at zero for the positive solutions are removable if and only if $${\Phi\not\in L^q(B_1(0))}$$ , where $${\Phi}$$ denotes the fundamental solution of $${-{\rm div}(\mathcal{A}(|x|)\nabla u)=\delta_0}$$ in $${\mathcal D'(B_1(0))}$$ and δ0 is the Dirac mass at 0. Moreover, we give a complete classification of the behaviour near zero of al…

Applied MathematicsMathematical analysisZero (complex analysis)Function (mathematics)DivergenceCombinatoricsNonlinear systemSettore MAT/05 - Analisi MatematicaFundamental solutionnonlinear equationsNabla symbolSingular solutionAnalysisMathematics
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Our Friend and Mathematician Karl Strambach

2020

This paper is dedicated to Karl Strambach on the occasion of his 80th birthday. Here we want to describe our work with Prof. Karl Strambach.

Applied Mathematicsimprimitive groupGrünwald spaces shells of curve010102 general mathematicsgroup theoryArt historyloop01 natural sciencescomplex curveLie group010101 applied mathematicsHjelmslev geometryMathematics (miscellaneous)Work (electrical)Mathematikalgebraic groupaffine connectionSettore MAT/03 - Geometria0101 mathematicsMathematicsBiographiebibliographiegeodesics
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Reduced complexity models in the identification of dynamical networks: Links with sparsification problems

2009

In many applicative scenarios it is important to derive information about the topology and the internal connections of more dynamical systems interacting together. Examples can be found in fields as diverse as Economics, Neuroscience and Biochemistry. The paper deals with the problem of deriving a descriptive model of a network, collecting the node outputs as time series with no use of a priori insight on the topology. We cast the problem as the optimization of a cost function operating a trade-off between accuracy and complexity in the final model. We address the problem of reducing the complexity by fixing a certain degree of sparsity, and trying to find the solution that “better” satisfi…

Approximation theoryMathematical optimizationSettore ING-INF/04 - AutomaticaDynamical systems theoryComputational complexity theoryNode (networking)A priori and a posteriorisparsification compressing sensing estimation networksNetwork topologyGreedy algorithmTopology (chemistry)MathematicsProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
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Polychromatic femtosecond fluorescence studies of metal–polypyridine complexes in solution

2011

Femtosecond-resolved broadband fluorescence studies are reported for[ M(bpy)(3)](2+) (M = Fe, Ru), RuN3 and RuN719 complexes in solution. We investigated the pump wavelength dependence of the fluorescence of aqueous [ Fe(bpy)(3)](2+) and the solvent and ligand dependence of the fluorescence of Ru-complexes excited at 400 nm. For all complexes, the (MLCT)-M-1 fluorescence appears at zero time delay with a mirror-like image with respect to the absorption. It decays in <= 30-45 fs due to intersystem crossing to the (MLCT)-M-3 states, but a longer lived component of similar to 190 fs additionally shows up in RuN719 and RuN3. No solvent effects are detected. The very early dynamics are character…

Aqueous solutionChemistryFluorescence up-conversionSettore FIS/01 - Fisica SperimentaleGeneral Physics and AstronomyIntersystem crossingMetal–polypyridine complexes; IVR; Internal conversion; Intersystem crossing; Ultrafast; Fluorescence up-conversionPhotochemistryFluorescencePhotoinduced electron transferIntersystem crossingInternal conversionUltrafastExcited stateIntramolecular forceFemtosecondIVRMetal–polypyridine complexePhysical and Theoretical ChemistrySolvent effects
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The interaction of amino acids with the major constituents of natural waters at different ionic strengths

2000

Abstract The interaction of amino acids with the major constituents of natural waters has been studied potentiometrically by determining protonation constants at different ionic strengths (e.g., I ≤5.6 mol (kg H 2 O) −1 (NaCl)) and in artificial seawater (containing Na + , K + , Ca 2+ , Mg 2+ , Cl − and SO 4 2− ) at different salinities. For glycine determinations in mixed NaCl–MgCl 2 , electrolyte solutions were also performed. The data included in this work, together with some already published, make it possible to calculate parameters for dependence on ionic strength using different models, i.e. an extended Debye–Huckel type equation and Pitzer equations. The results can be interpreted b…

Aqueous solutionChemistryInorganic chemistryIonic bondingArtificial seawaterProtonationGeneral ChemistryOceanographyIonic strengthStability constants of complexesEnvironmental ChemistryPitzer equationsSeawaterWater Science and Technology
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